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What is the Least Common Multiple of 10870 and 10875?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 10870 and 10875 is 23642250.

LCM(10870,10875) = 23642250

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Least Common Multiple of 10870 and 10875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10870 and 10875, than apply into the LCM equation.

GCF(10870,10875) = 5
LCM(10870,10875) = ( 10870 × 10875) / 5
LCM(10870,10875) = 118211250 / 5
LCM(10870,10875) = 23642250

Least Common Multiple (LCM) of 10870 and 10875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10870 and 10875. First we will calculate the prime factors of 10870 and 10875.

Prime Factorization of 10870

Prime factors of 10870 are 2, 5, 1087. Prime factorization of 10870 in exponential form is:

10870 = 21 × 51 × 10871

Prime Factorization of 10875

Prime factors of 10875 are 3, 5, 29. Prime factorization of 10875 in exponential form is:

10875 = 31 × 53 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 10870 and 10875.

LCM(10870,10875) = 21 × 53 × 10871 × 31 × 291
LCM(10870,10875) = 23642250